Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 346/417,641/855
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 346,641
Greatest Common Factor of Numerators i.e. GCF of 346,641 is 1 .
LCM of Denominators means LCM of 417,855 as per the given fractions.
LCM of 417,855 is 118845 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 346,641
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Greatest Common Factor
We found the factors 346,641 . The biggest common factor number is the GCF number.
So the greatest common factor 346,641 is 1.
Lets's calculate LCM of 417,855
3 | 417, 855 |
139, 285 |
∴ So the LCM of the given numbers is 3 x 139 x 285 = 118845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118845
Therefore, the GCF of Fractions 346/417,641/855 is 1/118845
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 417,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,855) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,855) x common factors =3 x 1 = 3
LCM(417,855) = ( 417 × 855 ) / 3
LCM(417,855) = 356535 / 3
LCM(417,855) = 118845
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 346/417, 641/855?
Answer: GCF of Numerators as per given numbers 346/417, 641/855 is
GCF of Numerators i.e. for 346,641 is 1
LCM of denominators i.e. for 417,855 is 118845.
Thus, GCF of Fractions is 1/118845.Finally, GCF of Fractions for 346/417, 641/855 is 1/118845.